1021001112137 has 2 divisors, whose sum is σ = 1021001112138. Its totient is φ = 1021001112136.

The previous prime is 1021001112121. The next prime is 1021001112139. The reversal of 1021001112137 is 7312111001201.

1021001112137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1003464996361 + 17536115776 = 1001731^2 + 132424^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021001112137 - 2⁴ = 1021001112121 is a prime.

Together with 1021001112139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1021001112139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510500556068 + 510500556069.

It is an arithmetic number, because the mean of its divisors is an integer number (510500556069).

Almost surely, 2^{1021001112137} is an apocalyptic number.

It is an amenable number.

1021001112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021001112137 is an equidigital number, since it uses as much as digits as its factorization.

1021001112137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 1021001112137 its reverse (7312111001201), we get a palindrome (8333112113338).

The spelling of 1021001112137 in words is "one trillion, twenty-one billion, one million, one hundred twelve thousand, one hundred thirty-seven".